218946852 has 18 divisors (see below), whose sum is σ = 553449078. Its totient is φ = 72982272.

The previous prime is 218946851. The next prime is 218946863. The reversal of 218946852 is 258649812.

218946852 is a `hidden beast` number, since 2 + 189 + 468 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147476736 + 71470116 = 12144^2 + 8454^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 218946798 and 218946807.

It is not an unprimeable number, because it can be changed into a prime (218946851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3040893 + ... + 3040964.

It is an arithmetic number, because the mean of its divisors is an integer number (30747171).

Almost surely, 2^218946852 is an apocalyptic number.

It is an amenable number.

218946852 is an abundant number, since it is smaller than the sum of its proper divisors (334502226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218946852 is a wasteful number, since it uses less digits than its factorization.

218946852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081867 (or 6081862 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 218946852 is about 14796.8527734786. The cubic root of 218946852 is about 602.7162514077.

The spelling of 218946852 in words is "two hundred eighteen million, nine hundred forty-six thousand, eight hundred fifty-two".